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Finding the Fourth Proportional to 143.75, 216.04 and 85.99

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Solution

The fourth proportional to 143.75, 216.04 and 85.99 is: 129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.75 : 216.04 = 85.99 : x
  2. Step 2: Convert to fraction form
    143.75/216.04 = 85.99/x
  3. Step 3: Cross multiply
    143.75x = 216.04 × 85.99
  4. Step 4: Simplify right side
    143.75x = 18,577.28
  5. Step 5: Solve for x
    x = 18,577.28/143.75
  6. Step 6: Final answer
    x = 129.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.